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Finding the Fourth Proportional to 12,816.60, 19,235.70 and 5,807.40

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Solution

The fourth proportional to 12,816.60, 19,235.70 and 5,807.40 is: 8,715.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.60 : 19,235.70 = 5,807.40 : x
  2. Step 2: Convert to fraction form
    12,816.60/19,235.70 = 5,807.40/x
  3. Step 3: Cross multiply
    12,816.60x = 19,235.70 × 5,807.40
  4. Step 4: Simplify right side
    12,816.60x = 111,709,404.18
  5. Step 5: Solve for x
    x = 111,709,404.18/12,816.60
  6. Step 6: Final answer
    x = 8,715.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.